1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fenix001 [56]
1 year ago
10

What is the solution to the compound inequality in interval notation?

Mathematics
1 answer:
ollegr [7]1 year ago
4 0

Answer:

Step-by-step explanation:

Because of the word "or", this is a disjunction, or a union of all the solutions to the inequality as they present on a number line.

For the first inequality:

4(x + 1) > -4 we distribute through the parenthesis to get

4x + 4 > -4 and subtract 4 from both sides to get

4x > -8 and then divide both sides by 4 to get

x > -2.  That will be graphed on a number line with an open hole over the -2 and the arrow will go to the right where the numbers are bigger than -2. This arrow continues into positive infinity.

For the other inequality:

2x - 4 ≤ -10 we add 4 to both sides to get

2x ≤ -6 and then divide by 2 to get

x ≤ -3. That is a closed hole over -3 and the arrow goes to negative infinity (to the left). Since one arrow goes off to the right forever, and the other arrow goes off to the left forever, and the arrows do not intersect at any point, the interval notation answer is

(-∞, -3] or (-2, ∞).  The parenthesis mean that the number following it is not included (you can't include infinity, either negative or positive, because it's not actually a number) and the brackets mean that the number following it IS included. The hole is closed over the -3 so -3 is included in the solution, where the hole over the -2 is open and is not included.

You might be interested in
How would you graph -x plus 2 thx
alexira [117]
F(x)= -x + 2

Plug in the X and you will find the Y
3 0
3 years ago
I’m helpless please help me
nignag [31]

Answer: I think the last one sorry of I am wrong

Step-by-step explanation:

7 0
3 years ago
How do i estimate 260000?
xz_007 [3.2K]

Answer:

260000

Estimate = <u>300000</u>

7 0
3 years ago
Allison is evaluating the expression -5-(-2) using integer tiles. She begins with 5 negative tiles as shown
elena-s [515]

Answer:

its B. -3

Step-by-step explanation:

Remove 3 negative tiles .

Can I get brainliest??????

5 0
3 years ago
Read 2 more answers
jessy took out a loan of $16,500 over 5 years at 4.2% interest to purchase a new car. how much will she pay in interest on the l
lbvjy [14]

Answer:

B

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year,

then, solving our equation

I = 16500 × 0.042 × 5 = 3465

I = $ 3,465.00

The simple interest accumulated

on a principal of $ 16,500.00

at a rate of 4.2% per year

for 5 years is $ 3,465.00.

6 0
3 years ago
Other questions:
  • Simplify 9 to the power of 2 over 9 to the power of 7 please help someone quick!
    14·1 answer
  • How to solve the different ways to find answer to 12 - 3?
    6·1 answer
  • What is the circumference of the circle with a diameter of 4cm?
    9·1 answer
  • PLEASE HELP!!
    8·2 answers
  • Divide r+5/r2+5r-14 by r2+4r-21/r-2
    8·1 answer
  • Jason has two bags with 6 tiles each. The tiles on each bag are shown below :
    12·1 answer
  • Plz helps so i can pass
    6·1 answer
  • I just want to know if I did this correctly or not. This is something I just learned today.​
    8·1 answer
  • What value for x will make the equation true?
    14·1 answer
  • What is the angle measurement of angle DBC?<br> Help please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!